Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
296 conjugacy classes of subgroups; only the 112 normal subgroups are shown.
This group has 296 conjugacy classes of subgroups — too many to draw. Only its 112 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 13. #11718261 | C4 | semidirect |
| 15. #11718233 | C4 | semidirect |
| 18. C13×#346 | C4 | semidirect |
| 19. C16×Dic13 | C4 | semidirect |
| 20. C16×Dic13 | C4 | semidirect |
| 21. #11718053 | C4 | semidirect |
| 114. #346 | #261 | semidirect |
| 187. C13 | #12667 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| D13⋊#364 | 2 |
| #13131055 | 2 |
| #13130638 | 2 |
| #13129885 | 2 |
| #13116429 | 2 |
| #12667 | 13 |